Question

if lcm (989,1892) is 43516, the hcf (989,1892) is​

Answer 1

$\bf {\huge {\mathcal {Solution }}}$

Given :

LCM (989, 1892 ) = 43516

HCF (989 , 1892 ) = ?

As we know that ...

LCM (a , b ) × HCF (a , b ) = a × b

=> 43516 × HCF = 989 × 1892

$= hcf \: = \frac{989 \times 1892}{43516}$

= HCF = 43

Answer 2

$\huge\mathfrak\orange{Answer}$

$lcm(989...1892) = 43516 \\ hcf(989...1892) = ...... \\ as \: we \: know \: that \: \\ lcm(a..b) \times hcf(a...b) = a \times b \\ = 43516 \times hcf = 989 \times 1892 \\ = hcf = \frac{989 \times 1892}{213516} \\ = 43$